Hair is inside the chin but not outside
it's hard to estimate the problem while not having the .blend file.
However I guess the normals could be the issue. Maybe try to check normals with colouring options, the drawn line often gets a bit messy.
Also, you could have bad geometry on you model which leads to the error - probaly try the '3D-Print Toolbox' Add-on, press 'f3' and run the command '3D-Print Clean Non-Manifold' - then check the normals again, maybe it helps